A common random fixed point theorem and Application to Random Integral Equations

  • Authors

    • Rashwan Ahmed Rashwan Department of Mathematics, Faculty of Science,Assiut University, Assiut 71516, Egypt
    • D. M. Albaqeri
    2014-02-22
    https://doi.org/10.14419/ijamr.v3i1.1690
  • The aim of this paper is to prove a fixed point theorem of a contraction mappings of a pair of weakly increasing mappings using an altering function in a partially ordered complete separable metric spaces. Our theorem is useful to determine a large of nonlinear problems. We discuss the existence of a common solution to a system of nonlinear random integral equations.

     

    Keywords: Common random fixed point, Nonlinear integral random equation, Partially ordered metric spaces, Random variable, Weakly increasing.

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    Rashwan, R. A., & Albaqeri, D. M. (2014). A common random fixed point theorem and Application to Random Integral Equations. International Journal of Applied Mathematical Research, 3(1), 71-80. https://doi.org/10.14419/ijamr.v3i1.1690